An algebraic structure _________ is called a semigroup
Question
An algebraic structure _________ is called a semigroup
Solution
An algebraic structure is called a semigroup if it satisfies the following two conditions:
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Closure: The operation is closed. This means that if you take any two elements in the set and perform the operation, the result will still be in the set.
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Associativity: The operation is associative. This means that for any three elements a, b, and c in the set, the equation (a * b) * c = a * (b * c) holds true.
Note: Here, "*" represents the binary operation.
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